leetcode-problemset/leetcode-cn/originData/water-and-jug-problem.json

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            "title": "Water and Jug Problem",
            "titleSlug": "water-and-jug-problem",
            "content": "<p>You are given two jugs with capacities <code>x</code> liters and <code>y</code> liters. You have an infinite water supply. Return whether the total amount of water in both jugs may reach <code>target</code> using the following operations:</p>\n\n<ul>\n\t<li>Fill either jug completely with water.</li>\n\t<li>Completely empty either jug.</li>\n\t<li>Pour water from one jug into another until the receiving jug is full, or the transferring jug is empty.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1: </strong></p>\n\n<div class=\"example-block\" style=\"border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;\">\n<p><strong>Input: </strong> <span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\"> x = 3, y = 5, target = 4 </span></p>\n\n<p><strong>Output: </strong> <span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\"> true </span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>Follow these steps to reach a total of 4 liters:</p>\n\n<ol>\n\t<li>Fill the 5-liter jug (0, 5).</li>\n\t<li>Pour from the 5-liter jug into the 3-liter jug, leaving 2 liters (3, 2).</li>\n\t<li>Empty the 3-liter jug (0, 2).</li>\n\t<li>Transfer the 2 liters from the 5-liter jug to the 3-liter jug (2, 0).</li>\n\t<li>Fill the 5-liter jug again (2, 5).</li>\n\t<li>Pour from the 5-liter jug into the 3-liter jug until the 3-liter jug is full. This leaves 4 liters in the 5-liter jug (3, 4).</li>\n\t<li>Empty the 3-liter jug. Now, you have exactly 4 liters in the 5-liter jug (0, 4).</li>\n</ol>\n\n<p>Reference: The <a href=\"https://www.youtube.com/watch?v=BVtQNK_ZUJg&amp;ab_channel=notnek01\" target=\"_blank\">Die Hard</a> example.</p>\n</div>\n\n<p><strong class=\"example\">Example 2: </strong></p>\n\n<div class=\"example-block\" style=\"border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;\">\n<p><strong>Input: </strong> <span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\"> x = 2, y = 6, target = 5 </span></p>\n\n<p><strong>Output: </strong> <span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\"> false </span></p>\n</div>\n\n<p><strong class=\"example\">Example 3: </strong></p>\n\n<div class=\"example-block\" style=\"border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;\">\n<p><strong>Input: </strong> <span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\"> x = 1, y = 2, target = 3 </span></p>\n\n<p><strong>Output: </strong> <span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\"> true </span></p>\n\n<p><strong>Explanation:</strong> Fill both jugs. The total amount of water in both jugs is equal to 3 now.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= x, y, target&nbsp;&lt;= 10<sup>3</sup></code></li>\n</ul>\n",
            "translatedTitle": "水壶问题",
            "translatedContent": "<p>有两个水壶，容量分别为&nbsp;<code>x</code>&nbsp;和 <code>y</code> 升。水的供应是无限的。确定是否有可能使用这两个壶准确得到&nbsp;<code>target</code>&nbsp;升。</p>\n\n<p>你可以：</p>\n\n<ul>\n\t<li>装满任意一个水壶</li>\n\t<li>清空任意一个水壶</li>\n\t<li>将水从一个水壶倒入另一个水壶，直到接水壶已满，或倒水壶已空。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1:</strong>&nbsp;</p>\n\n<pre>\n<strong>输入:</strong> x = 3,y = 5,target = 4\n<strong>输出:</strong> true\n<strong>解释：\n</strong>按照以下步骤操作，以达到总共 4 升水：\n1. 装满 5 升的水壶(0, 5)。\n2. 把 5 升的水壶倒进 3 升的水壶，留下 2 升(3, 2)。\n3. 倒空 3 升的水壶(0, 2)。\n4. 把 2 升水从 5 升的水壶转移到 3 升的水壶(2, 0)。\n5. 再次加满 5 升的水壶(2, 5)。\n6. 从 5 升的水壶向 3 升的水壶倒水直到 3 升的水壶倒满。5 升的水壶里留下了 4 升水(3, 4)。\n7. 倒空 3 升的水壶。现在，5 升的水壶里正好有 4 升水(0, 4)。\n参考：来自著名的&nbsp;<a href=\"https://www.youtube.com/watch?v=BVtQNK_ZUJg\"><em>\"Die Hard\"</em></a></pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> x = 2, y = 6, target = 5\n<strong>输出:</strong> false\n</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre>\n<strong>输入:</strong> x = 1, y = 2, target = 3\n<strong>输出:</strong> true\n<b>解释：</b>同时倒满两个水壶。现在两个水壶中水的总量等于 3。</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= x, y, target &lt;= 10<sup>3</sup></code></li>\n</ul>\n",
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